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Finding the Fourth Proportional to 408.55, 608.50 and 406.56

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Solution

The fourth proportional to 408.55, 608.50 and 406.56 is: 605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.55 : 608.50 = 406.56 : x
  2. Step 2: Convert to fraction form
    408.55/608.50 = 406.56/x
  3. Step 3: Cross multiply
    408.55x = 608.50 × 406.56
  4. Step 4: Simplify right side
    408.55x = 247,392.65
  5. Step 5: Solve for x
    x = 247,392.65/408.55
  6. Step 6: Final answer
    x = 605.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.